An inertial-double-projection-based algorithm for large-scale nonlinear systems of monotone equations

被引：0
|
作者：
Barari, Suma [1 ]
Amini, Keyvan [1 ]
Kamandi, Ahmad [2 ]
机构：
[1] Razi Univ, Fac Sci, Dept Math, Kermanshah, Iran
[2] Univ Sci & Technol Mazandran, Fac Sci, Dept Math, Behshahr, Mazandran, Iran
来源：
NUMERICAL ALGORITHMS | 2024年
关键词：
Iterative methods; Nonlinear equations; Monotone equations; Derivative free methods; Projection algorithms; VARIATIONAL INEQUALITY;
D O I：
10.1007/s11075-024-01975-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a derivative-free algorithm for solving large-scale nonlinear systems of monotone equations. This algorithm incorporates a pivotal step inspired by double projection methods, which is further refined through an inertial approach to approximate the solution more effectively. The global convergence of the new algorithm is investigated under some mild conditions. The results of some numerical tests, along with their performance profiles, demonstrate the algorithm's efficacy.
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页数：20
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